1. The problem is to evaluate $$90 \div (3 \times 3) - 32$$. Using GEMDAS, first evaluate inside the parentheses: $$3 \times 3 = 9$$. Then perform division: $$90 \div 9 = 10$$. Finally subtract: $$10 - 32 = -22$$. 2. Evaluate $$8 \times 4 \div 2 + (15 \div 5) - 42$$. Calculate parentheses first: $$15 \div 5 = 3$$. Then multiplication and division from left to right: $$8 \times 4 = 32$$, $$32 \div 2 = 16$$. Add and subtract: $$16 + 3 - 42 = -23$$. 3. Evaluate $${(15 - 3 \times 3) - (18 \div 9)} + 102$$. Inside parentheses: $$3 \times 3 = 9$$, then $$15 - 9 = 6$$. Also, $$18 \div 9 = 2$$. Subtract: $$6 - 2 = 4$$. Add 102: $$4 + 102 = 106$$. 4. Evaluate $$100 - 45 \div 3 \times 32 + 56$$. Division and multiplication left to right: $$45 \div 3 = 15$$, then $$15 \times 32 = 480$$. Now: $$100 - 480 + 56$$. Compute from left to right: $$100 - 480 = -380$$, then $$-380 + 56 = -324$$. 5. Evaluate $$62 \div 3 \times 4 - 28 + (7 + 3)$$. Calculate parentheses: $$7 + 3 = 10$$. Division and multiplication: $$62 \div 3 \approx 20.67$$, then $$20.67 \times 4 = 82.67$$. Now sum all: $$82.67 - 28 + 10 = 64.67$$ (rounded to two decimals). 6. Evaluate $$60 \div (5 \times 2) + 43$$. Parentheses first: $$5 \times 2 = 10$$. Division: $$60 \div 10 = 6$$. Add: $$6 + 43 = 49$$. 7. Evaluate $$120 \div 12 \times 5 \div 2 - 4$$. Division and multiplication left to right: $$120 \div 12 = 10$$, $$10 \times 5 = 50$$, $$50 \div 2 = 25$$. Subtract 4: $$25 - 4 = 21$$. 8. Evaluate $$95 - 24 \div (8 \times 3) + 24$$. Parentheses: $$8 \times 3 = 24$$. Division: $$24 \div 24 = 1$$. Now: $$95 - 1 + 24 = 118$$. 9. Evaluate $$9 \times 12 \div 3 + 5 - 15$$. Multiplication and division: $$9 \times 12 = 108$$, $$108 \div 3 = 36$$. Add and subtract: $$36 + 5 - 15 = 26$$. 10. Evaluate $$(36 \div 9 + 14) \div 9 + 12 - 10$$. Division inside parenthesis: $$36 \div 9 = 4$$. Sum inside parentheses: $$4 + 14 = 18$$. Divide by 9: $$18 \div 9 = 2$$. Add and subtract: $$2 + 12 - 10 = 4$$. Final answers: 1. $$-22$$ 2. $$-23$$ 3. $$106$$ 4. $$-324$$ 5. $$64.67$$ 6. $$49$$ 7. $$21$$ 8. $$118$$ 9. $$26$$ 10. $$4$$